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Simplifying 7e + 12 = 3(e + 6) Reorder the terms: 12 + 7e = 3(e + 6) Reorder the terms: 12 + 7e = 3(6 + e) 12 + 7e = (6 * 3 + e * 3) 12 + 7e = (18 + 3e) Solving 12 + 7e = 18 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 12 + 7e + -3e = 18 + 3e + -3e Combine like terms: 7e + -3e = 4e 12 + 4e = 18 + 3e + -3e Combine like terms: 3e + -3e = 0 12 + 4e = 18 + 0 12 + 4e = 18 Add '-12' to each side of the equation. 12 + -12 + 4e = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 4e = 18 + -12 4e = 18 + -12 Combine like terms: 18 + -12 = 6 4e = 6 Divide each side by '4'. e = 1.5 Simplifying e = 1.5
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